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Finding the Third Proportional to 128,612 and 278,688

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Solution

The third proportional to 128,612 and 278,688 is: 603,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,612 : 278,688 = 278,688 : x
  2. Step 2: Convert to fraction form
    128,612/278,688 = 278,688/x
  3. Step 3: Cross multiply
    128,612x = 278,688 × 278,688
  4. Step 4: Simplify right side
    128,612x = 77,667,001,344
  5. Step 5: Solve for x
    x = 77,667,001,344/128,612
  6. Step 6: Final answer
    x = 603,886.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.